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Finding the Fourth Proportional to 1,542.63, 2,128.96 and 912.84

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Solution

The fourth proportional to 1,542.63, 2,128.96 and 912.84 is: 1,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.63 : 2,128.96 = 912.84 : x
  2. Step 2: Convert to fraction form
    1,542.63/2,128.96 = 912.84/x
  3. Step 3: Cross multiply
    1,542.63x = 2,128.96 × 912.84
  4. Step 4: Simplify right side
    1,542.63x = 1,943,402.13
  5. Step 5: Solve for x
    x = 1,943,402.13/1,542.63
  6. Step 6: Final answer
    x = 1,259.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.